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Marcus solved this problem and found that [tex]$190 \%$[/tex] of 20 is 380. Is he correct? Explain why or why not.

[tex]\[
\begin{array}{r}
190 \% = 1.90 \\
\times \quad 20 \\
\hline
\quad 380 \\
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
Let’s carefully examine the problem to determine whether Marcus’s calculation is correct.

1. Understanding percentages:
When we calculate a percentage of a number, we are essentially finding the proportion of that number.

2. Convert percentage to a decimal:
To convert 190% to a decimal:
[tex]\[ 190\% = \frac{190}{100} = 1.90 \][/tex]

3. Calculate 190% of 20:
Next, we multiply 1.90 (the decimal form of 190%) by 20:
[tex]\[ 1.90 \times 20 \][/tex]

4. Perform the multiplication:
Let's perform the multiplication step-by-step:
[tex]\[ 1.90 \times 20 = 1.90 \times (2 \times 10) \][/tex]
First, multiply 1.90 by 2:
[tex]\[ 1.90 \times 2 = 3.80 \][/tex]
Then, multiply the result by 10:
[tex]\[ 3.80 \times 10 = 38.0 \][/tex]

So, 190% of 20 is 38.0.

5. Verify Marcus's result:
Marcus initially calculated 1900% of 20, which gives on the table that looks similar to:
[tex]\[ 1900 \% = 19.0 \quad \times 20 = 380.0 \][/tex]
But in this case, the problem statement should only cover 190%.

Marcus's calculation seems to mix up the positions, multiplying inaccurately meaning that he got 380 by mistakenly calculating 1900% instead of 190%.

Therefore, Marcus’s calculated answer of 380 is incorrect. The correct result for 190% of 20 is indeed 38.0.
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